1413976545168 has 480 divisors, whose sum is σ = 4206999306240. Its totient is φ = 405590169600.

The previous prime is 1413976545131. The next prime is 1413976545197. The reversal of 1413976545168 is 8615456793141.

Its product of digits (21772800) is a multiple of the sum of its prime divisors (350).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11133673521 + ... + 11133673647.

It is an arithmetic number, because the mean of its divisors is an integer number (8764581888).

Almost surely, 2^{1413976545168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413976545168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103499653120).

1413976545168 is an abundant number, since it is smaller than the sum of its proper divisors (2793022761072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1413976545168 is a wasteful number, since it uses less digits than its factorization.

1413976545168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 350 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 1413976545168 in words is "one trillion, four hundred thirteen billion, nine hundred seventy-six million, five hundred forty-five thousand, one hundred sixty-eight".